WEIGHTED SUM OF SQUARED DEVIATIONS FROM MEAN

WEIGHTED SUM OF SQUARED DEVIATIONS FROM MEAN (LET)

Let Subcommand

Compute the weighted sum of squared deviations from the mean of a variable.

The weighted sum of squared deviations from the mean is defined as

where X is the response variable, W is the weights variable, and is the sample mean. The response variable and weights variable must have the same number of observations.

For this command, the weights are not normalized. However, at least one of the weights must be positive and none of the weights can be negative. Otherwise, an error message is reported.

LET <par> = WEIGHTED SUM OF SQUARED DEVIATIONS FROM MEAN
                        <x> <w>             <SUBSET/EXCEPT/FOR qualification>
where <x> is the response variable;
            <w> is the weights variable;
            <par> is a parameter where the weighted sum of squared deviations from the mean is saved;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.

LET A = WEIGHTED SUM OF SQUARED EVIATIONS FROM MEAN ...
            Y1 WEIGHT
LET A = WEIGHTED SUM OF SQUARED DEVIATIONS FROM MEAN ...
            Y1 WEIGHT SUBSET Y1 > 0

Dataplot statistics can be used in a number of commands. For details, enter
HELP STATISTICS

None

None

WEIGHTED SUM OF DEVIATIONS FROM THE MEAN	= Compute the weighted sum of deviations from the mean of a variable.
WEIGHTED SUM	= Compute the weighted sum of a variable.
WEIGHTED SUM OF SQUARES	= Compute the weighted sum of squares of a variable.
WEIGHTED SUM OF ABSOLUTE VALUES	= Compute the weighted sum of absolute values of a variable.
WEIGHTED AVERAGE OF ABSOLUTE VALUES	= Compute the weighted average of absolute values of a variable.
WEIGHTED MEAN	= Compute the weighted mean of a variable.
WEIGHTED STANDARD DEVIATION	= Compute the weighted standard deviation of a variable.
WEIGHTED VARIANCE	= Compute the weighted variance of a variable.

Data Analysis

2012/06

 
LET Y = DATA 2 3 5 7 11 13 17 19 23
LET W = DATA 1 1 0 0 4 1 2 1 0
.
LET A = WEIGHTED SUM OF DEVIATIONS FROM THE MEAN Y W
    

The returned result is 284.0123.